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Finding the Fourth Proportional to 51,840.78, 77,772.51 and 16,779.93

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Solution

The fourth proportional to 51,840.78, 77,772.51 and 16,779.93 is: 25,173.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,840.78 : 77,772.51 = 16,779.93 : x
  2. Step 2: Convert to fraction form
    51,840.78/77,772.51 = 16,779.93/x
  3. Step 3: Cross multiply
    51,840.78x = 77,772.51 × 16,779.93
  4. Step 4: Simplify right side
    51,840.78x = 1,305,017,273.72
  5. Step 5: Solve for x
    x = 1,305,017,273.72/51,840.78
  6. Step 6: Final answer
    x = 25,173.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.